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481290552 = 23332399323
BaseRepresentation
bin11100101011111…
…110100100111000
31020112122002112000
4130223332210320
51441202244202
6115431421000
714632621311
oct3453764470
91215562460
10481290552
11227748796
12115224760
1378934212
1447cc5608
152c3be91c
hex1cafe938

481290552 has 64 divisors (see below), whose sum is σ = 1342656000. Its totient is φ = 159741792.

The previous prime is 481290541. The next prime is 481290559. The reversal of 481290552 is 255092184.

481290552 is a `hidden beast` number, since 4 + 8 + 12 + 90 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481290559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46963 + ... + 56285.

It is an arithmetic number, because the mean of its divisors is an integer number (20979000).

Almost surely, 2481290552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481290552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328000).

481290552 is an abundant number, since it is smaller than the sum of its proper divisors (861365448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481290552 is a wasteful number, since it uses less digits than its factorization.

481290552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 481290552 is about 21938.3352148699. The cubic root of 481290552 is about 783.6746142093.

The spelling of 481290552 in words is "four hundred eighty-one million, two hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 717 956 1434 1912 2151 2868 4302 5736 6453 8604 9323 12906 17208 18646 25812 27969 37292 51624 55938 74584 83907 111876 167814 223752 251721 335628 503442 671256 1006884 2013768 2228197 4456394 6684591 8912788 13369182 17825576 20053773 26738364 40107546 53476728 60161319 80215092 120322638 160430184 240645276 481290552